61586720 has 96 divisors (see below), whose sum is σ = 162252720. Its totient is φ = 21934080.

The previous prime is 61586713. The next prime is 61586753. The reversal of 61586720 is 2768516.

It can be written as a sum of positive squares in 8 ways, for example, as 18079504 + 43507216 = 4252^2 + 6596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59810 + ... + 60830.

Almost surely, 2^61586720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61586720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81126360).

61586720 is an abundant number, since it is smaller than the sum of its proper divisors (100666000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61586720 is a wasteful number, since it uses less digits than its factorization.

61586720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 61586720 is about 7847.7206881999. The cubic root of 61586720 is about 394.9077817087.

The spelling of 61586720 in words is "sixty-one million, five hundred eighty-six thousand, seven hundred twenty".